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Title: Quantum simulation of dissipative processes without reservoir engineering

We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and non-Markovian quantum dynamics. It consists in the quantum computation of the dissipative corrections to the unitary evolution of the system of interest, via the reconstruction of the response functions associated with the Lindblad operators. Our approach is equally applicable to dynamics generated by effectively non-Hermitian Hamiltonians. We confirm the quality of our method providing specific error bounds that quantify its accuracy.
Authors:
 [1] ;  [1] ;  [2] ;  [3] ;  [4]
  1. Univ. of the Basque Country, Bilbao (Spain)
  2. Univ. of Massachusetts, Boston, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Univ. of the Basque Country, Bilbao (Spain); Basque Foundation for Science, Bilbao (Spain)
  4. Univ. of the Basque Country, Bilbao (Spain); Univ. Ulm, Ulm (Germany)
Publication Date:
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 5; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1212705

Di Candia, R., Pedernales, J. S., del Campo, A., Solano, E., and Casanova, J.. Quantum simulation of dissipative processes without reservoir engineering. United States: N. p., Web. doi:10.1038/srep09981.
Di Candia, R., Pedernales, J. S., del Campo, A., Solano, E., & Casanova, J.. Quantum simulation of dissipative processes without reservoir engineering. United States. doi:10.1038/srep09981.
Di Candia, R., Pedernales, J. S., del Campo, A., Solano, E., and Casanova, J.. 2015. "Quantum simulation of dissipative processes without reservoir engineering". United States. doi:10.1038/srep09981. https://www.osti.gov/servlets/purl/1212705.
@article{osti_1212705,
title = {Quantum simulation of dissipative processes without reservoir engineering},
author = {Di Candia, R. and Pedernales, J. S. and del Campo, A. and Solano, E. and Casanova, J.},
abstractNote = {We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and non-Markovian quantum dynamics. It consists in the quantum computation of the dissipative corrections to the unitary evolution of the system of interest, via the reconstruction of the response functions associated with the Lindblad operators. Our approach is equally applicable to dynamics generated by effectively non-Hermitian Hamiltonians. We confirm the quality of our method providing specific error bounds that quantify its accuracy.},
doi = {10.1038/srep09981},
journal = {Scientific Reports},
number = ,
volume = 5,
place = {United States},
year = {2015},
month = {5}
}